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Boston Adler, R.L., Goodwyn, L.W., Weiss, B. (1977) Equivalence of topological Markov shifts. Isreal J. Math. 27:49-63 Adler, R.L., Konheim, A.G., McAndrew, M.H. (1964) Topological entropy. Trans. Amer. Math. Soc. 114:309-319 Adler, R.L., Marcus, B. (1979) Topological entropy and equivalence of dynamica
1864 Steriade, M., McCarley, R.W. (1990) Brainstem Control of Wakefulness and Sleep. Plenum. N.Y. 289 HOUSE_OVERSIGHT_013789 Stillwell, J. (1985) Poincare’s Papers on Fuchsian Groups. Springer-Verlag, N.Y. pp 1-50 Stockbridge,L.L., French,A.S. (1989) Characterization of a calcium-activated potassium ch
ormly divergent (and convergent), “hyperbolic” chaotic systems, such as brain systems, behave in Euclidean space, an intuitive similarity about which Poincare experienced his famous vacation bus trip epiphany (Stillwell, 1985). It should also be noted that encoding neural spike trains in one dimension for s
Rourke "was crazy or not." Berkeley topologist Andrew Casson went to the seminar, but only to play the
tics, only that it's still unproved. Late last year, after Colin Rourke, an English mathematician, became the latest victim of what's known as the Poincare conjecture, Dave Gabai, of Caltech, explained the obsession. "For a mathematician," said Gabai, who has a reputation for cracking seemingly unsolva
Discover: July 1987 What happens when hubris meets nemesis By Gary Taubes I have committed the sin of falsely proving Poincare's conjecture. But that was another country; and besides, until now no one has known about it. -- John Stallings Conjectures are what mathematician
ld benefit from what 50 HOUSE_OVERSIGHT_013550 Andrew Carnegie famously called the dignity of real work
context of mathematical epistemology, the instantaneous images of a geometer contrast with the labored sequential logic of the mathematical analyst. Poincare’ claimed that inclinations toward one or the other of these two cognitive styles and their associated mathematical tools arise from different kinds o
e gathered there were the ones chosen by the risen Jesus to be able to see Him, the list including Peter, James, 129 HOUSE_OVERSIGHT_013629 John, Andrew, Philip, Thomas, Bartholomew, Matthew, James, Simon and Judas. “_..they were all filled with the Holy Spirit and began to speak with other tongues, a
blished a model of it through internal reconstructions of sequential sensory experiences that_accompanied our exploratory movements. A world. It was Poincare’s habit to topologize the dynamics of motion in mathematical problems that lacked analytic solutions. In this way, simple algebraic operations repla
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